摘要
基于传递矩阵方法,提出了一种计算含有任意处裂纹梁固有频率的新方法。将梁内裂纹模拟为无质量的弯曲弹簧,得到了梁的解析特征方程。通过数值模拟计算,讨论了裂纹数量,以及裂纹位置和裂纹深度对梁的固有频率的影响。通过与文献[4]的计算结果比较,验证了本文方法的有效性。
A new method for natural frequency analysis of beam with multiple cracks is proposed on the basis of the transfer matrix method and rotational spring model of crack.The characteristic equation of vibration is obtained analytically.The effects of the crack number,crack position and depth on the first three natural frequencies of a beam are investigated by the numerical examples,the validity is confirmed by a comparison with reference.
出处
《应用力学学报》
CAS
CSCD
北大核心
2007年第1期66-68,共3页
Chinese Journal of Applied Mechanics
基金
国家自然科学基金资助项目(50078007
10572153)
关键词
多处裂纹梁
传递矩阵法
振动分析
a beam with multiple cracks,transfer matrix method,vibration analysis.
